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Finding the Third Proportional to 44,548 and 95,792

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Solution

The third proportional to 44,548 and 95,792 is: 205,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,548 : 95,792 = 95,792 : x
  2. Step 2: Convert to fraction form
    44,548/95,792 = 95,792/x
  3. Step 3: Cross multiply
    44,548x = 95,792 × 95,792
  4. Step 4: Simplify right side
    44,548x = 9,176,107,264
  5. Step 5: Solve for x
    x = 9,176,107,264/44,548
  6. Step 6: Final answer
    x = 205,982.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.